Relevance of Packing to Colloidal Self-Assembly

Abstract

Since the 1920s, packing arguments have been used to rationalize crystal structures in systems ranging from atomic mixtures to colloidal crystals. Packing arguments have recently been applied to complex nanoparticle structures, where they often, but not always, work. We examine when, if ever, packing is a causal mechanism in hard particle approximations of colloidal crystals. We investigate three crystal structures comprised of their ideal packing shapes. We show that, contrary to expectations, the ordering mechanism cannot be packing, even when the thermodynamically self-assembled structure is the same as that of the densest packing. We also show that the best particle shapes for hard particle colloidal crystals in the infinite pressure limit are imperfect versions of the ideal packing shape.

arXiv comment6 pages

References in corpus (10)

• Understanding shape entropy through local dense packing
• Why is Random Close Packing Reproducible?
• Entropically Patchy Particles: Engineering Valence through Shape Entropy
• Phase diagram of colloidal hard superballs: from cubes via spheres to octahedra
• Dense Regular Packings of Irregular Non-Convex Particles
• Vacancy-stabilized crystalline order in hard cubes
• Scalable Metropolis Monte Carlo for simulation of hard shapes
• Digital Alchemy for Materials Design: Colloids and Beyond
• Entropy driven key-lock assembly
• The 3-ball is a local pessimum for packing

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